10220002120000 has 140 divisors (see below), whose sum is σ = 25359338664000. Its totient is φ = 4085249728000.

The previous prime is 10220002119991. The next prime is 10220002120051. The reversal of 10220002120000 is 2120002201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59874777 + ... + 60045223.

Almost surely, 2^{10220002120000} is an apocalyptic number.

10220002120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12679669332000).

10220002120000 is an abundant number, since it is smaller than the sum of its proper divisors (15139336544000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10220002120000 is an equidigital number, since it uses as much as digits as its factorization.

10220002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171978 (or 171953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220002120000 its reverse (2120002201), we get a palindrome (10222122122201).

The spelling of 10220002120000 in words is "ten trillion, two hundred twenty billion, two million, one hundred twenty thousand".